This is not true. It is the DMCA which requires disclosing name, address, and telephone number in order to fight a takedown notice.

  If the work was not infringing and the notice was either
  in error or malicious, the client can then file what is
  known as a counter-notice. That notice must contain the
  following elements:
  ...
  4. The subscriber's name, address, and telephone number,
  and a statement that the subscriber consents to the
  jurisdiction of Federal District Court for the judicial
  district in which the address is located, or if the
  subscriber's address is outside of the United States, for
  any judicial district in which the service provider may be
  found, and that the subscriber will accept service of
  process from the person who provided notification.

http://brainz.org/dmca-takedown-101/